Initial Coefficient Estimates for a Certain Subclasses of $m$-Fold Symmetric Bi-Univalent Functions Involving $\phi$-Pseudo-Starlike Functions Defined by Mittag-Leffler Function

Authors : Timilehin SHABA, Abbas KAREEM

Pages : 59-68

View : 17 | Download : 10

Publication Date : 2022-04-15

Article Type : Research Paper

Abstract :In the present investigation, we introduce and study a certain subclasses $\mathcal{H}_{\Sigma_{m}}insert ignore into journalissuearticles values(\eta,\gamma,\lambda,\delta,\tau,\phi,\upsilon;\alpha);$ and $\mathcal{H}_{\Sigma_{m}}^{*}insert ignore into journalissuearticles values(\eta,\gamma,\lambda,\delta,\tau,\phi,\upsilon;\beta);$ of analytic and m-fold symmetric bi-univalent functions involving $\phi$-pseudo-starlike functions associated with Mittag-Leffler Function. We establish upper bounds for the second and third Taylor-Maclaurin coefficients for functions in each of these subclasses. Furthermore, we indicate several certain special cases for our results.
Keywords : Analytic function, m fold symmetric bi univalent function, Coefficient bounds, Mittag Leffler function, pseudo starlike function